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Combinatorial And Geometric Group Theory Edinburgh 1993

Author: Andrew J. Duncan
Publisher: Cambridge University Press
ISBN: 9780521465953
Size: 50.93 MB
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The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in 1993, brought together some of the leading research workers in the subject. Some of the survey articles and contributed papers presented at the meeting are collected in this volume. The former cover a number of areas of current interest and include papers by: S. M. Gersten, R. I. Grigorchuk, P. H. Kropholler, A. Lubotzky, A. A. Razborov and E. Zelmanov. The contributed articles, all refereed, range over a wide number of topics in combinatorial and geometric group theory and related topics. The volume represents a summary of the state of knowledge of the field, and as such will be indispensable to all research workers in the area.

Geometry And Cohomology In Group Theory

Author: Peter H. Kropholler
Publisher: Cambridge University Press
ISBN: 9780521635561
Size: 40.80 MB
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This volume covers cohomology, representation theory, geometric and combinatorial group theory.

Algebraic Cycles And Motives

Author: Jan Nagel
Publisher: Cambridge University Press
ISBN: 0521701740
Size: 42.99 MB
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This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

Exponential Genus Problems In One Relator Products Of Groups

Author: Andrew James Duncan
Publisher: American Mathematical Soc.
ISBN: 0821839454
Size: 72.77 MB
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Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.

Geometric Group Theory

Author: Graham A. Niblo
Publisher: Cambridge University Press
ISBN: 9780521446808
Size: 56.78 MB
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The articles in these two volumes arose from papers given at the 1991 International Symposium on Geometric Group Theory, and they represent some of the latest thinking in this area. Many of the world's leading figures in this field attended the conference, and their contributions cover a wide diversity of topics. This second volume contains solely a ground breaking paper by Gromov, which provides a fascinating look at finitely generated groups. For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

Topology And Geometric Group Theory

Author: Michael W. Davis
Publisher: Springer
ISBN: 3319436740
Size: 77.50 MB
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This book presents articles at the interface of two active areas of research: classical topology and the relatively new field of geometric group theory. It includes two long survey articles, one on proofs of the Farrell–Jones conjectures, and the other on ends of spaces and groups. In 2010–2011, Ohio State University (OSU) hosted a special year in topology and geometric group theory. Over the course of the year, there were seminars, workshops, short weekend conferences, and a major conference out of which this book resulted. Four other research articles complement these surveys, making this book ideal for graduate students and established mathematicians interested in entering this area of research.

Geometry Of Low Dimensional Manifolds Volume 2

Author: Donaldson/Thomas
Publisher: Cambridge University Press
ISBN: 9780521400015
Size: 50.24 MB
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These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.

Geometric Group Theory

Author: Goulnara N. Arzhantseva
Publisher: Springer Science & Business Media
ISBN: 3764384123
Size: 34.69 MB
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This volume has its origins in the Barcelona Conference in Group Theory (July 2005) and the conference "Asymptotic and Probabilistic Methods in Geometric Group Theory" held in Geneva (June 2005). Twelve peer-reviewed research articles written by experts in the field present the most recent results in abstract and geometric group theory. In particular there are two articles by A. Juhász.